STOCHASTIC DILATION OF A QUANTUM DYNAMICAL SEMIGROUP ON A SEPARABLE UNITAL C* ALGEBRA
Debashish Goswami, Arup Kumar Pal, Kalyan B. Sinha · Infinite Dimensional Analysis Quantum Probability and Related Topics · 2000
Given a uniformly continuous quantum dynamical semigroup on a separable unital C* algebra, we construct a canonical Evans–Hudson (E-H) dilation. Such a result was already proved by Goswami and Sinha6 in the von Neumann algebra setup, which has been extended to the C* algebraic framework in this paper. The authors make use of the coordinate-free calculus and results of Ref. 6, but the proof of the existence of structure maps differs from that of Ref. 6.